Bifurcation dynamics in polynomial discrete systems.
2020
QA267.7
Linked e-resources
Linked Resource
Online Access
Concurrent users
Unlimited
Authorized users
Authorized users
Document Delivery Supplied
Can lend chapters, not whole ebooks
Details
Title
Bifurcation dynamics in polynomial discrete systems.
Author
LUO, ALBERT C. J.
ISBN
9789811552083 (electronic book)
9811552088 (electronic book)
981155207X
9789811552076
9811552088 (electronic book)
981155207X
9789811552076
Publication Details
[Place of publication not identified] SPRINGER Verlag, SINGAPOR, 2020.
Language
English
Description
1 online resource
Item Number
10.1007/978-981-15-5208-3 doi
Call Number
QA267.7
Dewey Decimal Classification
620
Summary
This is the first book focusing on bifurcation dynamics in 1-dimensional polynomial nonlinear discrete systems. It comprehensively discusses the general mathematical conditions of bifurcations in polynomial nonlinear discrete systems, as well as appearing and switching bifurcations for simple and higher-order singularity period-1 fixed-points in the 1-dimensional polynomial discrete systems. Further, it analyzes the bifurcation trees of period-1 to chaos generated by period-doubling, and monotonic saddle-node bifurcations. Lastly, the book presents methods for period-2 and period-doubling renormalization for polynomial discrete systems, and describes the appearing mechanism and period-doublization of period-n fixed-points on bifurcation trees for the first time, offering readers fascinating insights into recent research results in nonlinear discrete systems.
Access Note
Access limited to authorized users.
Series
Nonlinear physical science, 1867-8440
Available in Other Form
Print version: 9789811552076
Linked Resources
Online Access
Record Appears in
Online Resources > Ebooks
All Resources
All Resources
Table of Contents
Quadratic Nonlinear Discrete Systems
Cubic Nonlinear Discrete Systems
Quartic Nonlinear Discrete Systems
(2m)th-degree Polynomial Discrete Systems
(2m+1)th-degree polynomial discrete systems
Subject index. .
Cubic Nonlinear Discrete Systems
Quartic Nonlinear Discrete Systems
(2m)th-degree Polynomial Discrete Systems
(2m+1)th-degree polynomial discrete systems
Subject index. .